MAA Logged i MATHEMATICAL ASSOCIATION OF AMERICA webwork/ math243spring-schmidt/
ID: 3375960 • Letter: M
Question
MAA Logged i MATHEMATICAL ASSOCIATION OF AMERICA webwork/ math243spring-schmidt/ week 10b-ch23 comparing two proportions/1 Week 10b - Ch23 Comparing Two Proportions: Problem 1 Previous Problem List Naxt Results for this submission Entered Answer Preview Result 0.0316,0.3124) (0.0316, 0.3124) The answer above is NOT correct (1 point) Two random samples are taken, one from among UVA students and the other from among UNC students. Both groups are asked if academics are their top priority. A summary of the sample sizes and proportions of each group answering yes" are given below UVA (Pop. 1):8, P0.789 UNC (Pop. 2): 2 83, 2 0.617 Find a 96.5% confidence interval for the difference P1-P2 of the population proportions. Confidence interval (0316,.3124) Preview My Answers Submit Answers Your score was recorded. You have attempted this problern 6 times You received a score of 0% for this attempt. Your overall rocorded score is 0%Explanation / Answer
Here 95.5 % confidence interval for difference in proportions = (p^1 - p^2) +- Z95.5 sqrt[ p^1 * (1 - p^1)/n1 + p^2 * (1 - p^2)/n2]
= (0.789 - 0.617) +- 2.00 * sqrt [0.789 * (1 - 0.789)/81 + 0.617 * ( 1 - 0.617) /83]
= 0.172 +- 2 * 0.07
= (0.032, 0.312)
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